Edit Profile (opens in new tab) Kasparov, Gennadi G. Co-Author Distance Author ID: kasparov.gennadi-g Published as: Kasparov, G. G.; Kasparov, Gennadi; Kasparov, Gennadi G.; Kasparov, Guennadi more...less External Links: Math-Net.Ru Videos: carmin.tv Documents Indexed: 34 Publications since 1969, including 2 Additional arXiv Preprints Co-Authors: 6 Co-Authors with 12 Joint Publications 126 Co-Co-Authors all top 5 Co-Authors 22 single-authored 4 Skandalis, Georges 3 Higson, Nigel 2 Julg, Pierre 2 Yu, Guoliang 1 Gorbachëv, N. V. 1 Trout, Jody all top 5 Serials 3 Mathematics of the USSR. Izvestiya 3 Soviet Mathematics. Doklady 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 \(K\)-Theory 1 Russian Mathematical Surveys 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Journal of Operator Theory 1 Electronic Research Announcements of the American Mathematical Society 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Journal of Noncommutative Geometry all top 5 Fields 26 Functional analysis (46-XX) 14 \(K\)-theory (19-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Category theory; homological algebra (18-XX) 8 Manifolds and cell complexes (57-XX) 7 Topological groups, Lie groups (22-XX) 7 Algebraic topology (55-XX) 2 Operator theory (47-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 1,411 times in 904 Documents Cited by ▼ Year ▼ Equivariant KK-theory and the Novikov conjecture. Zbl 0647.46053 Kasparov, G. G. 358 1988 Hilbert C*-modules: Theorems of Stinespring and Voiculescu. Zbl 0456.46059 Kasparov, G. G. 165 1980 \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003 Higson, Nigel; Kasparov, Gennadi 144 2001 Operator-K-Funktoren und Erweiterungen von C*-Algebren. Zbl 0448.46051 Kasparov, G. G. 137 1980 The operator K-functor and extensions of C*-algebras. Zbl 0464.46054 Kasparov, G. G. 129 1981 Groups acting properly on “bolic” spaces and the Novikov conjecture. Zbl 1029.19003 Kasparov, Gennadi; Skandalis, Georges 51 2003 The coarse geometric Novikov conjecture and uniform convexity. Zbl 1102.19003 Kasparov, Gennadi; Yu, Guoliang 49 2006 \(K\)-theory, group \(C^*\)-algebras, and higher signatures (conspectus). Zbl 0957.58020 Kasparov, G. G. 42 1995 Topological invariants of elliptic operators. I: K-homology. Zbl 0337.58006 Kasparov, G. G. 39 1976 Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046 Higson, Nigel; Kasparov, Gennadi 38 1997 A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040 Higson, Nigel; Kasparov, Gennadi; Trout, Jody 33 1998 Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035 Kasparov, G. G.; Skandalis, G. 32 1991 Operator \(K\)-theory for the group \(SU(n,1)\). Zbl 0819.19004 Julg, Pierre; Kasparov, Gennadi 26 1995 Topologische Invarianten elliptischer Operatoren. I: K-Homologien. Zbl 0328.58016 Kasparov, G. G. 26 1975 The Novikov conjecture and geometry of Banach spaces. Zbl 1257.19003 Kasparov, Gennadi; Yu, Guoliang 25 2012 Lorentz groups: K-theory of unitary representations and crossed products. Zbl 0584.22004 Kasparov, G. G. 25 1984 Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001 Kasparov, Gennadi 20 2016 Operator K-theory and its applications: Elliptic operators, group representations, higher signatures, \(C^*\)-extensions. Zbl 0571.46047 Kasparov, G. G. 20 1984 An index for invariant elliptic operators, K-theory, and representations of Lie groups. Zbl 0526.22007 Kasparov, G. G. 15 1983 “Bolic” groups and Novikov’s conjecture. (Groupes “boliques” et conjecture de Novikov.) Zbl 0839.19003 Kasparov, Guennadi; Skandalis, Georges 8 1994 Operator \(K\)-theory and its applications. Zbl 0616.46064 Kasparov, G. G. 6 1987 Novikov’s conjecture on higher signatures: The operator \(K\)-theory approach. Zbl 0788.19005 Kasparov, Gennadi 4 1993 Die Invarianten der klassischen Linsenmannigfaltigkeiten in der Kobordismentheorie. Zbl 0195.24903 Kasparov, G. G. 4 1969 Der K-Funktor in der Theorie der Erweiterungen von C*-Algebren. Zbl 0421.46057 Kasparov, G. G. 3 1979 On the homotopy invariance of the rational Pontryagin numbers. Zbl 0212.28402 Kasparov, G. G. 3 1970 Relative \(K\)-homology and \(K\)-homology of an ideal. Zbl 0744.46070 Kasparov, G. G. 2 1991 The generalized index of elliptic operators. Zbl 0305.58017 Kasparov, G. G. 1 1974 The K-functor in the theory of extensions of C*-algebras. Zbl 0447.46053 Kasparov, G. G. 1 1980 Groupes agissant sur des immeubles de Bruhat-Tits, K-théorie opératorielle et conjecture de Novikov. (Groups acting on Bruhat-Tits buildings, operator K-theory and Novikov’s conjecture). Zbl 0705.19010 Kasparov, Gennadi G.; Skandalis, Georges 1 1990 Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001 Kasparov, Gennadi 20 2016 The Novikov conjecture and geometry of Banach spaces. Zbl 1257.19003 Kasparov, Gennadi; Yu, Guoliang 25 2012 The coarse geometric Novikov conjecture and uniform convexity. Zbl 1102.19003 Kasparov, Gennadi; Yu, Guoliang 49 2006 Groups acting properly on “bolic” spaces and the Novikov conjecture. Zbl 1029.19003 Kasparov, Gennadi; Skandalis, Georges 51 2003 \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003 Higson, Nigel; Kasparov, Gennadi 144 2001 A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040 Higson, Nigel; Kasparov, Gennadi; Trout, Jody 33 1998 Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046 Higson, Nigel; Kasparov, Gennadi 38 1997 \(K\)-theory, group \(C^*\)-algebras, and higher signatures (conspectus). Zbl 0957.58020 Kasparov, G. G. 42 1995 Operator \(K\)-theory for the group \(SU(n,1)\). Zbl 0819.19004 Julg, Pierre; Kasparov, Gennadi 26 1995 “Bolic” groups and Novikov’s conjecture. (Groupes “boliques” et conjecture de Novikov.) Zbl 0839.19003 Kasparov, Guennadi; Skandalis, Georges 8 1994 Novikov’s conjecture on higher signatures: The operator \(K\)-theory approach. Zbl 0788.19005 Kasparov, Gennadi 4 1993 Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035 Kasparov, G. G.; Skandalis, G. 32 1991 Relative \(K\)-homology and \(K\)-homology of an ideal. Zbl 0744.46070 Kasparov, G. G. 2 1991 Groupes agissant sur des immeubles de Bruhat-Tits, K-théorie opératorielle et conjecture de Novikov. (Groups acting on Bruhat-Tits buildings, operator K-theory and Novikov’s conjecture). Zbl 0705.19010 Kasparov, Gennadi G.; Skandalis, Georges 1 1990 Equivariant KK-theory and the Novikov conjecture. Zbl 0647.46053 Kasparov, G. G. 358 1988 Operator \(K\)-theory and its applications. Zbl 0616.46064 Kasparov, G. G. 6 1987 Lorentz groups: K-theory of unitary representations and crossed products. Zbl 0584.22004 Kasparov, G. G. 25 1984 Operator K-theory and its applications: Elliptic operators, group representations, higher signatures, \(C^*\)-extensions. Zbl 0571.46047 Kasparov, G. G. 20 1984 An index for invariant elliptic operators, K-theory, and representations of Lie groups. Zbl 0526.22007 Kasparov, G. G. 15 1983 The operator K-functor and extensions of C*-algebras. Zbl 0464.46054 Kasparov, G. G. 129 1981 Hilbert C*-modules: Theorems of Stinespring and Voiculescu. Zbl 0456.46059 Kasparov, G. G. 165 1980 Operator-K-Funktoren und Erweiterungen von C*-Algebren. Zbl 0448.46051 Kasparov, G. G. 137 1980 The K-functor in the theory of extensions of C*-algebras. Zbl 0447.46053 Kasparov, G. G. 1 1980 Der K-Funktor in der Theorie der Erweiterungen von C*-Algebren. Zbl 0421.46057 Kasparov, G. G. 3 1979 Topological invariants of elliptic operators. I: K-homology. Zbl 0337.58006 Kasparov, G. G. 39 1976 Topologische Invarianten elliptischer Operatoren. I: K-Homologien. Zbl 0328.58016 Kasparov, G. G. 26 1975 The generalized index of elliptic operators. Zbl 0305.58017 Kasparov, G. G. 1 1974 On the homotopy invariance of the rational Pontryagin numbers. Zbl 0212.28402 Kasparov, G. G. 3 1970 Die Invarianten der klassischen Linsenmannigfaltigkeiten in der Kobordismentheorie. Zbl 0195.24903 Kasparov, G. G. 4 1969 all cited Publications top 5 cited Publications all top 5 Cited by 662 Authors 30 Yu, Guoliang 25 Rennie, Adam 23 Dadarlat, Marius 17 Meyer, Ralf 16 Wang, Qin 15 Skandalis, Georges 14 Kucerovsky, Dan Z. 14 Mesland, Bram 13 Ng, Ping Wong 12 Benameur, Moulay-Tahar 12 Echterhoff, Siegfried 12 Emerson, Heath 12 Kaad, Jens 12 Rosenberg, Jonathan Micah 11 Carey, Alan L. 11 Deeley, Robin J. 11 Higson, Nigel 11 Troitskiĭ, Evgeniĭ Vadimovich 11 Valette, Alain 11 Wang, Hang 11 Weinberger, Shmuel 11 Xie, Zhizhang 10 Kubota, Yosuke 10 Lück, Wolfgang 10 Mathai, Varghese 10 Vasselli, Ezio 9 Connes, Alain 9 Goffeng, Magnus 9 Kasparov, Gennadi G. 9 Manuĭlov, Vladimir Markovich 8 Bourne, Chris 8 Burgstaller, Bernhard 8 Chen, Xiaoman 8 Debord, Claire 8 Nest, Ryszard 8 Oyono-Oyono, Hervé 8 Savin, Anton Yur’evich 8 Schick, Thomas 8 Thomsen, Klaus E. 7 Piazza, Paolo 7 van den Dungen, Koenraad Lambertus 7 van Suijlekom, Walter Daniël 6 Douglas, Ronald George 6 Hochs, Peter 6 Kaminker, Jerome 6 Li, Xin 6 Phillips, N. Christopher 6 Schochet, Claude L. 6 Willett, Rufus 5 Fu, Benyin 5 Gheondea, Aurelian 5 Gong, Guihua 5 Guentner, Erik Paul 5 Guo, Hao 5 Julg, Pierre 5 Lescure, Jean-Marie 5 Lin, Huaxin 5 Loizides, Yiannis 5 Loring, Terry A. 5 Lott, John 5 Pennig, Ulrich 5 Roy, Indrava 5 Song, Yanli 5 Sternin, Boris Yur’evich 5 Voigt, Christian 5 Winter, Wilhelm 5 Zhou, Dapeng 4 Arici, Francesca 4 Ay, Serdar 4 Barlak, Selçuk 4 Baudier, Florent Pierre 4 Baum, Paul Frank 4 Bunke, Ulrich 4 Cheng, Qingjin 4 Deng, Jintao 4 Elliott, George A. 4 Gabe, James 4 Germain, Emmanuel 4 Guo, Liang 4 Haskell, Peter 4 Hilsum, Michel 4 Kaliszewski, Steven Paul 4 Lesch, Matthias 4 Luo, Zheng 4 Naor, Assaf 4 Nishikawa, Shintaro 4 Nistor, Victor 4 Ozawa, Narutaka 4 Paravicini, Walther Dietrich 4 Phillips, John 4 Proietti, Valerio 4 Quigg, John C. 4 Sims, Aidan 4 Skalski, Adam G. 4 Skeide, Michael 4 Suzuki, Yuhei 4 Szabó, Gábor 4 Wang, Xianjin 4 Watatani, Yasuo 4 Whittaker, Michael F. ...and 562 more Authors all top 5 Cited in 161 Serials 110 Journal of Functional Analysis 59 Journal of Noncommutative Geometry 47 Advances in Mathematics 41 \(K\)-Theory 29 Communications in Mathematical Physics 28 Journal of Geometry and Physics 25 Transactions of the American Mathematical Society 24 Mathematische Annalen 22 Proceedings of the American Mathematical Society 19 Journal of Mathematical Analysis and Applications 18 Annals of \(K\)-Theory 17 Journal of Topology and Analysis 16 Journal für die Reine und Angewandte Mathematik 15 Journal of \(K\)-Theory 14 International Journal of Mathematics 11 Annales de l’Institut Fourier 10 Inventiones Mathematicae 10 Bulletin of the American Mathematical Society. New Series 10 Geometry & Topology 9 Journal of Mathematical Physics 9 Duke Mathematical Journal 8 Ergodic Theory and Dynamical Systems 8 Documenta Mathematica 7 Rocky Mountain Journal of Mathematics 7 Integral Equations and Operator Theory 7 Russian Journal of Mathematical Physics 7 Journal of Topology 6 Publications Mathématiques 6 Mathematische Zeitschrift 6 Proceedings of the London Mathematical Society. Third Series 6 Topology and its Applications 6 Geometric and Functional Analysis. GAFA 6 Journal of Mathematical Sciences (New York) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Studia Mathematica 5 Reviews in Mathematical Physics 5 Bulletin de la Société Mathématique de France 5 Geometriae Dedicata 5 Journal of Pure and Applied Algebra 5 Chinese Annals of Mathematics. Series B 5 Annals of Global Analysis and Geometry 5 Expositiones Mathematicae 5 Algebraic & Geometric Topology 5 Groups, Geometry, and Dynamics 5 Kyoto Journal of Mathematics 5 Annals of Functional Analysis 4 Letters in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Glasgow Mathematical Journal 4 Memoirs of the American Mathematical Society 4 The New York Journal of Mathematics 4 Annales Henri Poincaré 4 Journal of the Australian Mathematical Society 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Complex Analysis and Operator Theory 3 Bulletin of the Australian Mathematical Society 3 Houston Journal of Mathematics 3 Israel Journal of Mathematics 3 Mathematical Notes 3 Bulletin of the London Mathematical Society 3 Functional Analysis and its Applications 3 Journal of the London Mathematical Society. Second Series 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. English Series 3 Oberwolfach Reports 3 Operators and Matrices 3 Banach Journal of Mathematical Analysis 3 Science China. Mathematics 3 Analysis and Geometry in Metric Spaces 2 Communications on Pure and Applied Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Compositio Mathematica 2 Illinois Journal of Mathematics 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of the American Mathematical Society 2 International Journal of Algebra and Computation 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 L’Enseignement Mathématique. 2e Série 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Algebraic Combinatorics 2 Selecta Mathematica. New Series 2 Bulletin des Sciences Mathématiques 2 Theory and Applications of Categories 2 Electronic Research Announcements of the American Mathematical Society 2 Mathematical Physics, Analysis and Geometry 2 Positivity 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Homotopy and Related Structures 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Linear and Multilinear Algebra 1 Moscow University Mathematics Bulletin 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Arkiv för Matematik ...and 61 more Serials all top 5 Cited in 44 Fields 649 Functional analysis (46-XX) 383 \(K\)-theory (19-XX) 223 Global analysis, analysis on manifolds (58-XX) 97 Group theory and generalizations (20-XX) 94 Topological groups, Lie groups (22-XX) 83 Operator theory (47-XX) 74 Manifolds and cell complexes (57-XX) 72 Algebraic topology (55-XX) 65 Differential geometry (53-XX) 49 Quantum theory (81-XX) 39 Category theory; homological algebra (18-XX) 35 Abstract harmonic analysis (43-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Associative rings and algebras (16-XX) 17 General topology (54-XX) 16 Geometry (51-XX) 14 Number theory (11-XX) 12 Algebraic geometry (14-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Combinatorics (05-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Partial differential equations (35-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year